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Finding the Fourth Proportional to 153,829.70, 230,768.96 and 65,083.88

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Solution

The fourth proportional to 153,829.70, 230,768.96 and 65,083.88 is: 97,636.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,829.70 : 230,768.96 = 65,083.88 : x
  2. Step 2: Convert to fraction form
    153,829.70/230,768.96 = 65,083.88/x
  3. Step 3: Cross multiply
    153,829.70x = 230,768.96 × 65,083.88
  4. Step 4: Simplify right side
    153,829.70x = 15,019,337,821.10
  5. Step 5: Solve for x
    x = 15,019,337,821.10/153,829.70
  6. Step 6: Final answer
    x = 97,636.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.